The Geometric Function Properties of the Limits of ACL-Mappings with Integrable Distortion Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 1026-1042 Pages count : 17 DOI: 10.1134/s0037446624050057 | ||
| Tags | ACL-mapping, Sobolev mapping, Carnot group, mapping of finite distortion, external distortion operator function, limits of ACL-mappings, Luzin’s N −1-property | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
Studying the geometric function properties of the limits of ACL-mappings with integrable distortion on domains in Carnot groups, we obtain the conditions for the limits of sequences of these mappings to belong to the class ACL. Moreover, such limits have finite distortion and enjoy Luzin’s N−1-property.
Cite:
Vodopyanov S.K.
The Geometric Function Properties of the Limits of ACL-Mappings with Integrable Distortion
Siberian Mathematical Journal. 2024. V.65. N5. P.1026-1042. DOI: 10.1134/s0037446624050057 WOS Scopus РИНЦ OpenAlex
The Geometric Function Properties of the Limits of ACL-Mappings with Integrable Distortion
Siberian Mathematical Journal. 2024. V.65. N5. P.1026-1042. DOI: 10.1134/s0037446624050057 WOS Scopus РИНЦ OpenAlex
Original:
Водопьянов С.К.
Функционально–геометрические свойства пределов ACL–отображений с интегрируемым искажением
Сибирский математический журнал. 2024. Т.65. №5. С.820-840. DOI: 10.33048/smzh.2024.65.505 РИНЦ
Функционально–геометрические свойства пределов ACL–отображений с интегрируемым искажением
Сибирский математический журнал. 2024. Т.65. №5. С.820-840. DOI: 10.33048/smzh.2024.65.505 РИНЦ
Dates:
| Submitted: | Jun 16, 2024 |
| Accepted: | Aug 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300005 |
| Scopus: | 2-s2.0-85204923372 |
| Elibrary: | 69920881 |
| OpenAlex: | W4402841880 |